An apparatus for simultaneously disposing tubular labels on a plurality of bottles or other containers includes an assembly for advancing the bottles or other containers along an endless travel path. The apparatus also includes a plurality of tubular label applying stations each operable to individually apply a tubular label onto a bottle or other container as the bottle or other container is advanced along the travel path. The advancing assembly is preferably in the form of a rotating plate supporting the bottles or other containers thereon at uniform angular spacings from one another and the tubular label applying stations are preferably also supported on the rotating plate. A cam and cam follower arrangement is utilized for controlling each tubular label applying station to perform its label applying operation in coordination with the advancing movement of its associate bottle or other container.